1338333601 has 16 divisors (see below), whose sum is σ = 1511532288. Its totient is φ = 1174435200.

The previous prime is 1338333589. The next prime is 1338333611. The reversal of 1338333601 is 1063338331.

It is a cyclic number.

It is not a de Polignac number, because 1338333601 - 2²⁵ = 1304779169 is a prime.

It is a super-2 number, since 2×1338333601² = 3582273655131254402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338333611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20011 + ... + 55471.

It is an arithmetic number, because the mean of its divisors is an integer number (94470768).

Almost surely, 2^1338333601 is an apocalyptic number.

1338333601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1338333601 is a deficient number, since it is larger than the sum of its proper divisors (173198687).

1338333601 is a wasteful number, since it uses less digits than its factorization.

1338333601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35592.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 1338333601 is about 36583.2420788535. The cubic root of 1338333601 is about 1102.0165766065.

The spelling of 1338333601 in words is "one billion, three hundred thirty-eight million, three hundred thirty-three thousand, six hundred one".